Answer:
A) [0, 2]
Explanation:
-x² + 2x >= 0
2x >= x²
the solution set is the description of all values of x for which the inequality is true.
for any negative value for x the left side is negative and the right side is positive. negative can never be larger than positive.
that rules out C) and D).
since ">=" contains also "=", x = 0 is a valid solution (as 0 = 0) and has to be included in the set. the same for x = 2 (as 4 = 4). so, "[" and "]" have to be used.
therefore, A is the correct answer.